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Simplifying 4w + 3 = 2(w + -5) Reorder the terms: 3 + 4w = 2(w + -5) Reorder the terms: 3 + 4w = 2(-5 + w) 3 + 4w = (-5 * 2 + w * 2) 3 + 4w = (-10 + 2w) Solving 3 + 4w = -10 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 3 + 4w + -2w = -10 + 2w + -2w Combine like terms: 4w + -2w = 2w 3 + 2w = -10 + 2w + -2w Combine like terms: 2w + -2w = 0 3 + 2w = -10 + 0 3 + 2w = -10 Add '-3' to each side of the equation. 3 + -3 + 2w = -10 + -3 Combine like terms: 3 + -3 = 0 0 + 2w = -10 + -3 2w = -10 + -3 Combine like terms: -10 + -3 = -13 2w = -13 Divide each side by '2'. w = -6.5 Simplifying w = -6.5
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